Title
Coupling Navier-stokes and Cahn-hilliard Equations in a Two-dimensional Annular flow Configuration
Abstract
In this work, we present a novel isogeometric analysis discretization for the Navier-Stokes- Cahn-Hilliard equation, which uses divergence-conforming spaces. Basis functions generated with this method can have higher-order continuity, and allow to directly discretize the higher- order operators present in the equation. The discretization is implemented in PetIGA-MF, a high-performance framework for discrete differential forms. We present solutions in a two- dimensional annulus, and model spinodal decomposition under shear flow.
Year
DOI
Venue
2015
10.1016/j.procs.2015.05.228
Procedia Computer Science
Keywords
Field
DocType
Phase-field modeling,Navier-Stokes equation,high-order partial differential equation,iso-geometric analysis,divergence-conforming spaces
Discretization,Differential equation,Mathematical optimization,Isogeometric analysis,Computer science,First-order partial differential equation,Basis function,Partial differential equation,Shear flow,Hyperbolic partial differential equation
Conference
Volume
ISSN
Citations 
51
1877-0509
4
PageRank 
References 
Authors
0.95
10
5
Name
Order
Citations
PageRank
Philippe A. Vignal1123.48
Adel Sarmiento2142.86
Adriano M. A. Côrtes3112.06
Lisandro Dalcín412818.25
Victor M. Calo519138.14